What is the Greatest Common Factor of 37824 and 37840?

Greatest common factor (GCF) of 37824 and 37840 is 16.

GCF(37824,37840) = 16

We will now calculate the prime factors of 37824 and 37840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37824 and 37840.

How to find the GCF of 37824 and 37840?

We will first find the prime factorization of 37824 and 37840. After we will calculate the factors of 37824 and 37840 and find the biggest common factor number .

Step-1: Prime Factorization of 37824

Prime factors of 37824 are 2, 3, 197. Prime factorization of 37824 in exponential form is:

37824 = 2⁶ × 3¹ × 197¹

Step-2: Prime Factorization of 37840

Prime factors of 37840 are 2, 5, 11, 43. Prime factorization of 37840 in exponential form is:

37840 = 2⁴ × 5¹ × 11¹ × 43¹

Step-3: Factors of 37824

List of positive integer factors of 37824 that divides 37824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 6304, 9456, 12608, 18912

Step-4: Factors of 37840

List of positive integer factors of 37840 that divides 37824 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 43, 44, 55, 80, 86, 88, 110, 172, 176, 215, 220, 344, 430, 440, 473, 688, 860, 880, 946, 1720, 1892, 2365, 3440, 3784, 4730, 7568, 9460, 18920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37824 and 37840. The biggest common factor number is the GCF number.
So the greatest common factor 37824 and 37840 is 16.

Also check out the Least Common Multiple of 37824 and 37840